Concept explainers
To find: The value of the variable x for the equation.
Answer to Problem 12E
The value of the variable x for the equation
Explanation of Solution
Given information:
The equation
Formula used:
Inverse property states exponential and logarithmic function are reciprocal to each other and mathematically expressed as
Quotient property of natural logarithmic function is
Calculation:
Consider the provided equation,
Recall that Inverse property states exponential and logarithmic function are reciprocal to each other and mathematically expressed as
Apply it, take logarithmic function on both sides,
Apply the quotient property of natural logarithmic function that is
Since,
Hence, the value of the variable x for the equation
Chapter 3 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning